A064544 Biquanimous numbers (or biquams): group the digits into two pieces (not necessarily equal or in order) with the same sum.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 110, 112, 121, 123, 132, 134, 143, 145, 154, 156, 165, 167, 176, 178, 187, 189, 198, 202, 211, 213, 220, 224, 231, 235, 242, 246, 253, 257, 264, 268, 275, 279, 286, 297, 303, 312, 314, 321, 325, 330, 336, 341, 347, 352, 358

Offset: 0

Author

David W. Wilson, Oct 09 2001

Keywords

• base
• easy
• nonn

Comments

This sequence is 10-automatic (decimal expansions form a regular language accepted by a finite automaton).

Examples

			143 is in the sequence because its digits {1, 4, 3} may be grouped so that 1+3 = 4.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10000
• Index entries for 10-automatic sequences.

Crossrefs

Cf. A064671, A064686 (number of n-digit base-3 biquams), A065023, A065024, A065025.

Programs

PARI

is(n) = { my (d=digits(n), s=[0]); for (k=1, #d, s=setunion(apply(v -> v+d[k], s), apply(v -> v-d[k], s))); setsearch(s, 0)>0 } \\ Rémy Sigrist, Jan 23 2021